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简介 '0<d9OlJ} ~wvt:E,fC 人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 Pf*6/7S: 4"d,=P.{ 模型 ]P4WfV
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模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 2w?q7N% vwCQvt Table 1. AZ眼睛模型的定义 ) `u17
{ 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. ]g_VPx" DiC z%'N 光源 %()d$.F Lkt4F 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 t*{L[c9.Uq }V?m
=y [ =C"[o\]VV 图1. 光源和提示信息使用 zp:dArh0 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 qt"D!S_ =7Ln&tZ 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 ?w3RqF@} XlmX3RU 图2. 字母F光源的设定方法光 L\:|95Yq q6zVu( 图3. 字母F在视网膜上位置点列图 uYJS=NGNA 视网膜的散射 @CprC]X LUOjaX 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 *t@A-Sn Ln"wjO, EX8JlA\-W 图4. 视网膜朗伯散射设定 AIF?>wgq 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 m%'nk"p9 hFtV\xFK inh0p^ 图5. 视网膜重点采样规格设定 F%OP,>zl 脚本 KX)n+{
Hon2;-:]{] 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: 7]=&Q4e4 ]\,?u / 图6. 用户对话框的创建与编辑 DfXkLOGik 图7. 用户对话框编辑器 z@*E=B1L 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 X! d-"[ 余下的脚本计算与屈光度有关的所有参数。 (gt\R} wu
<0or2 分析 _v!7
|&\ u3T-U_:jSV 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 .OPknC Tz
@<hE 图7. 字母F在视网膜上颜色分析 uD\R3cY 脚本代码 &@~K8*tmK Cxf K(F Option Explicit 'Remove this to enable non-dimensioned variables to be used. 0~|0D#klB M/3;-g Dim entity As T_ENTITY c&['T+X Dim op As T_OPERATION v%tjZ5x Dim mat As T_MODELMATERIAL YteIp'T Dim A As Double l6M?[ Dim pupilDiam As Double u
Ie^Me Dim eID As Long u 3WU0Z` Dim parID As Long ^<;W+dWdU Dim count As Integer _@5Xmr Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 5Xq+lLW> Dim tlens As Double, nlens As Double ~ua(Qm Dim curv As Double, conic As Double }$ y.qqG Dim ok As Long |J$A%27 Gu;40)gm Sub Main u[a-9^&g E-A9lJWr '用户输入对话框 x]^d'o:cDP Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 FFT)m^4p. TextBox 220,21,40,21,.TextBox1 'default: 0 lrrTeE* Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ,NO[Piok OKButton 40,91,90,21 YPK@BmAdE CancelButton 190,91,90,21 5'!fi]Z Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 z)Rkd0/X TextBox 220,49,40,21,.TextBox2 'default: 4 Kz'GAm\ End Dialog ak 7% Dim dlg As UserDialog K1
f1T {`HbpM<=m] ok = Dialog (dlg) kQ\GVI11? $tlBI:ay1 If ok=0 Then 'cancel button was pressed NlYuT+ Print "Execution cancelled." |nMjv]# End 7%h;To-<6 End If b9g2mWL\T Ar-Vu{` 'Assign accommodation and pupil diameter & use defaults if field left empty 1P)K@j If dlg.TextBox1 = "" Then 4LSs WO<@ A = 0 'Default accommodation M$x,B#b Else (Mv~0ShakO A = CDbl(dlg.TextBox1) Dj/Hz\ End If L15)+^4n `E~"T0RX If dlg.TextBox2 = "" Then
1^_W[+<S/ pupilDiam = 4 'Default pupil diameter F:zmO5L5 Else 7mtx^ pupilDiam = CDbl(dlg.TextBox2) enk`I$Xx End If O>E}Lu;| [I;C6p Print " " |s/)lA:9 Print "Accommodation = " & A & " Diopters" FQek+[ox Print "Pupil Diameter = " & pupilDiam & " mm" g0 f4>m gs<~)&x ' Calculate new parameters with accommodation h-p}Qil, taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness XT/t\\Z`U #(
.G;e;w Rant = 12.0 - 0.4*A 'Radius of anterior lens @tT`s^e CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens
II'.vp =8_b&4.:& Rpost = -5.224557 + 0.2*A 'Radius of posterior lens <*vR_?!
CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens
c@A.jc :1d;jx> tlens = 3.767 + 0.04*A 'Lens thickness @@ j\OR j32*9 nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction c{^1`(#? L IKuK# 'Adjust parameters to account for accommodation :@(1~Hm %=z>kU1| '************************************************************************* a3n
Wt 'Aqueous thickness (Position of Lens) p$"~vA . '************************************************************************* 5$i(f8* eID = FindFullName( "Geometry.Arizona Eye.Lens" ) ",apO GetCustomElement eID, entity Pk&=\i< )]n>.ZmLCB parID = FindFullName( "Geometry.Arizona Eye" ) "s@Hg1 "9s}1C; Me ' Delete any shift(s) in z LYAGpcG count = 0 }:?*n:g5 While GetOperationCount(eID)>count 9q ]f]S.L GetOperation eID, count, op Zzlt^#KLx If op.Type="ShiftZ" Then PU%Zay DeleteOperation eID,count P%B|HnG^ count=count-1 <\nM5-wR End If 42e [OG- count=count+1 ^/%o
I;O{ Wend ]prw=rD rHk(@T.] 'Set new shift in e'~Qe_ op.Type = "ShiftZ" H/t0# op.val1 = taq H-t$A, [ op.parent = parID YdV.+v(30 AddOperation eID, op 75>%!mhM Print "Set aqueous humor thickness = " & taq-0.55 XN-1`5:4I _9-;35D_ '************************************************************************* )4o8SF7lz 'Radius and conic constant of anterior lens [#wt3<d`) '************************************************************************* S%H"i
y eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) xqdkc^b GetConic eID, entity, curv, conic A46dtFD{ %cs"PS SetConic eID, entity, 1/Rant, CCant Qraq{'3 Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant #++:`Z wo62R&ac '************************************************************************* =2*2$ 'Radius and conic constant of posterior lens F.(W`H*1+ '************************************************************************* }2Ge??! eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) -7oIphJ=\ GetConic eID, entity, curv, conic },<Y
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'|<`[ SetConic eID, entity, 1/Rpost, CCpost S^q^=q0F Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost uJ|,-"~F "4KyJ;RA* '************************************************************************* EId>%0s5 'Lens thickness (Position of posterior lens surface) HI1|~hOb' '************************************************************************* p%Q{Rqc) N)jNvzm parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ">B&dNrt lX.1B&T9Lr ' Delete any z-shift(s) zn'Mi:O'p count = 0 Lcg1X3$G While GetOperationCount(eID)>count .: wg@Z GetOperation eID, count, op AN,3[Sh If op.Type="ShiftZ" Then !9qw DeleteOperation eID,count 1C=42ZZ&2 count=count-1 F:Vl\YZ End If )#Ecm<.^ count=count+1 -0'<7FSQ Wend >y}> 5kv dtQ3iuV % 'Set new z-shift ?y%Mm09 op.Type = "ShiftZ" <%4pvn8d?& op.val1 = tlens $v8T%'p+ op.parent = parID @CPkP AddOperation eID, op PTpfa*t Print "Set lens thickness = " & tlens }WR@%)7ay 0/fwAp '************************************************************************* _4{3^QZq5
'Lens index of refraction nbw8YO(= '************************************************************************* EnMc9FN(y eID = FindMaterial( "Lens" ) Vs>e"czfm/ GetModelMaterial eID, mat J,h'eY5 eHHU2^I, mat.Nd = nlens E)'T;% SetModelMaterial eID, mat .F/l$4CQ Print "Set lens index of refraction = " & nlens .lgm" #pD=TMefC '************************************************************************* )
[)1 'Pupil diameter D.F1^9Q '************************************************************************* j<?k$8H eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) W9G jUswv! 9y\Ik/ 'Adjust pupil diameter (trimming volume inner hole) 25vq#sS] `y"a>gHC SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" =m;cy0)) !(_qM ' Adjust pupil location to just in front of the lens 7*+tG7I @ parID = FindFullName( "Geometry.Arizona Eye" ) x` 4|^u eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) | m#" count = 0 meD83,L~N While GetOperationCount(eID)>count h?QGJ^#8 GetOperation eID, count, op Vvn~G.&) If op.Type="ShiftZ" Then "NV~lJS% DeleteOperation eID,count SphP@J<ONW count=count-1 e9F+R@8 End If -9 |)O: count=count+1 [L2N[vy; Wend !'bZ|j% op.Type = "ShiftZ" AB.ZmR9| op.val1 = taq-0.01 o^d op.parent = parID 7%|HtBXv^ AddOperation eID, op $3Sm? 9 b&HqkXX Print "Set pupil diameter = " & pupilDiam aqP"Y9l m4 c2WY6k 'Update AZ Eye subassembly Description ()_^:WQO? eID = FindFullName( "Geometry.Arizona Eye" ) <@c9S,@t GetEntity eID, entity tY`%vI [ entity.Description = "Accommodation = " & A & "D" o3:h!(#G SetEntity eID, entity G'iE`4`2 U uSCqI}; Update w!l*!G Print "DONE!" 7]
>z e .|LY /q\A End Sub p+F>+OQ* c*V/2"
5 如果屈光度是4,光瞳直径是4,则会输出如下数据: kI~;'M fTI~wF8! Accommodation = 4 Diopters )%I62<N,z Pupil Diameter = 4 mm l=>FoJf!*< Set aqueous humor thickness = 2.81 WQNFHRfO*n Set anterior lens radius = 10.4 and conic constant = -2.375869 0w".o!2\U{ Set posterior lens radius = -4.424557 and conic constant = -3.081019 U5;Y o+z Set lens thickness = 3.927 :w9s bW Set lens index of refraction = 1.42672 YZc{\~d Set pupil diameter = 4 ~#:R1~rh\e DONE! E(an5x/r
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